GCD of 42, 359, 117, 349 Calculator

Given Input numbers are 42, 359, 117, 349

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 42, 359, 117, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 359, 117, 349 is 1.

Therefore, GCD of numbers 42, 359, 117, 349 is 1

Given Input Data is 42, 359, 117, 349

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 359 is 359

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 349 is 349

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(42, 359) = 15078

GCD(42, 359) = ( 42 x 359 ) / 15078

GCD(42, 359) = 15078 / 15078

GCD(42, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 42, 359, 117, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 719, 376, 321
• GCD of 97, 351, 897, 269
• GCD of 41, 574, 911, 895
• GCD of 58, 848, 291, 430
• GCD of 41, 244, 669, 510

1. What is the GCD of 42, 359, 117, 349?

GCD of 42, 359, 117, 349 is 1

2. Where do I get the detailed procedure to find GCD of 42, 359, 117, 349?

You can find a detailed procedure to find GCD of 42, 359, 117, 349 on our page.

3. How to find GCD of 42, 359, 117, 349 on a calculator?

You can find the GCD of 42, 359, 117, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.